3 papers
stat.ML2026
Breaking the Curse with BAND: Nonparametric Distribution Estimation in High Dimensions
Shuo-Chieh Huang, Chien-Ming Chi, Jau-er Chen
Minimax-optimal rates for multivariate distribution estimation are known to suffer from the curse of dimensionality. We propose a sparse Bayesian network approach in which each con…
stat.ML2025
Constructive Universal Approximation and Sure Convergence for Multi-Layer Neural Networks
Chien-Ming Chi
We propose o1Neuro, a new neural network model built on sparse indicator activation neurons, with two key statistical properties. (1) Constructive universal approximation: At the p…
stat.ML2025
Optimizing High-Dimensional Oblique Splits
Chien-Ming Chi
Evidence suggests that oblique splits can significantly enhance the performance of decision trees. This paper explores the optimization of high-dimensional oblique splits for decis…